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Home » 🔥 Truth or Dare 2017 Sprint: The Shocking Secrets That Shook the Game Forever! - Simpleprint

🔥 Truth or Dare 2017 Sprint: The Shocking Secrets That Shook the Game Forever! - Simpleprint

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 x^4 + 1 = x^4 + \frac{1}{x^4} \cdot x^4 = x^4 + \frac{x^4}{x^4} = x^4 + 1 \Rightarrow \text{Not directly helpful}

📌 Instead, observe:

📌 \frac{x^2 + 1}{x^2 - 1} + \frac{x^2 - 1}{x^2 + 1} = y + \frac{1}{y} = \frac{x^2 + 1}{x^2 - 1} + \frac{x^2 - 1}{x^2 + 1}

📌 Let’s compute this directly using the identity:

📌 \frac{a + b}{a - b} + \frac{a - b}{a + b} = \frac{(a + b)^2 + (a - b)^2}{(a - b)(a + b)} = \frac{2a^2 + 2b^2}{a^2 - b^2}

📌 \frac{2(x^2 + 1)}{x^2 - 1}

📌 From earlier, $ x + \frac{1}{x} = 5 \Rightarrow x^2 + \frac{1}{x^2} = 23 $, so:

📌 x^2 + 1 = x^2 + \frac{x^2}{x^2} = x^2 + 1 \Rightarrow \text{Try direct substitution}

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Subtracting consecutive equations eliminates $ d $:
$ 7a + 3b + c = 7 $
$ 19a + 5b + c = 15 $
$ 37a + 7b + c = 31 $
Subtracting these equations:
$ 12a + 2b = 8 $ → $ 6a + b = 4 $
$ 18a + 2b = 16 $ → $ 9a + b = 8 $
Subtracting these gives $ 3a = 4 $ → $ a = \frac{4}{3} $. Substituting...
g(x) = \frac{4}{3}x^3 - 4x^2 + \frac{35}{3}x - 6.
The final answer is $ \boxed{\dfrac{4}{3}x^3 - 4x^2 + \dfrac{35}{3}x -...

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